On stress fibre reorientation under plane substrate stretching

Pirentis, AP; Lazopoulos, KA

dc.contributor.author	Pirentis, AP	en
dc.contributor.author	Lazopoulos, KA	en
dc.date.accessioned	2014-03-01T01:31:33Z
dc.date.available	2014-03-01T01:31:33Z
dc.date.issued	2009	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19813
dc.subject	Coexistence of phases	en
dc.subject	Extracellular stretching	en
dc.subject	Finite elasticity	en
dc.subject	Maxwell's stability convention	en
dc.subject	Reorientation	en
dc.subject	Stability	en
dc.subject	Stress fibres	en
dc.subject.classification	Mechanics	en
dc.subject.other	Clarification	en
dc.subject.other	Elasticity	en
dc.subject.other	Functions	en
dc.subject.other	Maxwell equations	en
dc.subject.other	Programming theory	en
dc.subject.other	Stability	en
dc.subject.other	Strain energy	en
dc.subject.other	Substrates	en
dc.subject.other	Coexistence of phases	en
dc.subject.other	Extracellular stretching	en
dc.subject.other	Finite elasticity	en
dc.subject.other	Maxwell's stability convention	en
dc.subject.other	Reorientation	en
dc.subject.other	Stress fibres	en
dc.subject.other	Fibers	en
dc.title	On stress fibre reorientation under plane substrate stretching	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-008-0225-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-008-0225-6	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	It is well documented in literature that under plane substrate stretching adherent cells reorganize their actin cytoskeleton by reorienting their stress fibres in one or two distinct directions, depending upon the magnitude of the substrate strain and the contractile mechanism of the cell. Since the cell is a quite deformable body, previous theoretical modelling according to the principles of linear elasticity theory is not adequate. Experimental evidence such as the concurrent appearance of two distinct and symmetric directions of orientation of the stress fibres in the same cell indicates the presence of a coexistence of phases nonlinear elastic phenomenon. Moreover, the aforementioned evidence supports the assumption that the strain energy density function of the stress fibres should be nonconvex. In the present study, following finite elasticity principles, the reorientation phenomenon is treated as a nonlinear elastic stability problem adopting the global (Maxwell's) criterion. In this way, apart from explaining thoroughly the coexistence of phases phenomenon, the contribution of other key elements, such as prestress and substrate strain, is stressed out. Further, the nonconvexity factor is correlated to the influence of the small GTPase Rho, regulator of the formation of the actin stress fibres. The predominant final stress fibres configuration, that is transverse to the maximum extracellular strain direction and appears after the coexistence of phases placement, is also clarified. The mathematical model that is proposed here for the description of adherent cell behaviour under plane substrate stretching is an extension of previous work by the authors, where the orientation of stress fibres under uniaxial substrate stretching was studied. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-008-0225-6	en
dc.identifier.isi	ISI:000262668700006	en
dc.identifier.volume	79	en
dc.identifier.issue	3	en
dc.identifier.spage	263	en
dc.identifier.epage	277	en